%0 Journal Article %T Mixed Approximation for Nonexpansive Mappings in Banach Spaces %A Qing-Bang Zhang %A Fu-Quan Xia %A Ming-Jie Liu %J Abstract and Applied Analysis %D 2010 %I Hindawi Publishing Corporation %R 10.1155/2010/763207 %X The mixed viscosity approximation is proposed for finding fixed points of nonexpansive mappings, and the strong convergence of the scheme to a fixed point of the nonexpansive mapping is proved in a real Banach space with uniformly Gâteaux differentiable norm. The theorem about Halpern type approximation for nonexpansive mappings is shown also. Our theorems extend and improve the correspondingly results shown recently. %U http://www.hindawi.com/journals/aaa/2010/763207/